Finding the Third Proportional to 13,480 and 31,268

Step by Step Solution

1. Step 1: Write the proportion equation
   13,480 : 31,268 = 31,268 : x
2. Step 2: Convert to fraction form
   13,480/31,268 = 31,268/x
3. Step 3: Cross multiply
   13,480x = 31,268 × 31,268
4. Step 4: Simplify right side
   13,480x = 977,687,824
5. Step 5: Solve for x
   x = 977,687,824/13,480
6. Step 6: Final answer
   x = 72,528.77